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Question
Write a pair of irrational numbers whose product is rational.
Sum
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Solution
A pair of irrational numbers whose product is rational is:
`sqrt2 and sqrt3`
Explanation:
Both `sqrt2 and sqrt3` are irrational numbers because they cannot be expressed as a simple fraction of two integers.
The Product:
`sqrt2 xx sqrt8`
`=sqrt16`
= 4
The result, 4, is a rational number because it can be written as the fraction `4/1`
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